2014 TWO(e)

ExcellenceComprehensive
Question
A rectangle is drawn inside a right angled triangle, as shown in the diagram below.
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Point B moves along the base of the triangle AC, beginning at point A, at a constant speed of 3 cm s.

At what rate is the area of the rectangle changing when point B is 20 cm from point A?

*Show any derivatives that you need to find when solving this problem.*
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